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Finding the Third Proportional to 27,002 and 58,921

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Solution

The third proportional to 27,002 and 58,921 is: 128,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002 : 58,921 = 58,921 : x
  2. Step 2: Convert to fraction form
    27,002/58,921 = 58,921/x
  3. Step 3: Cross multiply
    27,002x = 58,921 × 58,921
  4. Step 4: Simplify right side
    27,002x = 3,471,684,241
  5. Step 5: Solve for x
    x = 3,471,684,241/27,002
  6. Step 6: Final answer
    x = 128,571.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.